Question

Find the exact value of tan A in simplest
radical form.
V29

Answer 1

The exact value of tan A in simplest radical form is (2√29) / 29.

To find the exact value of tan A in simplest radical form, we need to use the trigonometric identity:

tan A = opposite side / adjacent side

In this case:

Opposite side = CA = 2

Adjacent side = BA = √29

Therefore, tan A = 2 / √29

To simplify this expression further, we can rationalize the denominator by multiplying both numerator and denominator by the conjugate of the denominator, which is √29.

tan A = (2 * √29) / (√29 * √29)

This simplifies to:

tan A = (2√29) / 29

Therefore, the exact value of tan A in simplest radical form is (2√29) / 29.

Answer 2

`\large\boxed{\tan A=(5)/(2)=2(1)/(2)=2.5}`

Explanation:

`tangent=(opposite)/(adjacent)\\\\\text{We have:}\\\\opposite=5\\adjacent=2\\\\\text{Therefore:}\\\\\tan A=(5)/(2)=2(1)/(2)`